The world may seem orderly, but randomness and chaos shape everything in the universe, from enormous galaxies all the way down to subatomic particles. Take a chilly window sheeting over with ice: even ...

(via Quanta) A simple question about a spinning needle has haunted mathematicians for more than a century. It led to the Kakeya conjecture, a cornerstone of modern analysis connecting geometry, ...

A brilliant teen who honed her skills during the COVID-19 pandemic has solved one of math’s most mysterious problems — and in doing so, become a rising star. As Quanta magazine reports, fledgling ...

When Hannah Cairo was 17 years old, she disproved the Mizohata-Takeuchi conjecture, a long-standing guess in the field of harmonic analysis about how waves behave on curved surfaces. The conjecture ...

Katie has a PhD in maths, specializing in the intersection of dynamical systems and number theory. She reports on topics from maths and history to society and animals. Katie has a PhD in maths, ...

Mathematicians have finally solved a geometry problem that has puzzled the field for decades. By wiggling a needle around while spinning it, you can minimize the amount of space it moves through, ...

The original version of this story appeared in Quanta Magazine. Sometime in the fall of 2021, Andrew Krapivin, an undergraduate at Rutgers University, encountered a paper that would change his life.

Mathematicians from New York University and the University of British Columbia have resolved a decades-old geometric problem, the Kakeya conjecture in 3D, which studies the shape left behind by a ...

A mathematical breakthrough made this year is so complex that other mathematicians struggled to understand it, but it has already led to progress in other areas of maths. In May, Sam Raskin at Yale ...

Above: A custom-made barrel enzyme, a type of protein seen as redoubling the efficiency of industrial processes.Credit... Supported by By William J. Broad Artificial intelligence often gets criticized ...